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Finding the Fourth Proportional to 187,205.57, 258,313.82 and 106,634.69

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Solution

The fourth proportional to 187,205.57, 258,313.82 and 106,634.69 is: 147,138.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,205.57 : 258,313.82 = 106,634.69 : x
  2. Step 2: Convert to fraction form
    187,205.57/258,313.82 = 106,634.69/x
  3. Step 3: Cross multiply
    187,205.57x = 258,313.82 × 106,634.69
  4. Step 4: Simplify right side
    187,205.57x = 27,545,212,293.67
  5. Step 5: Solve for x
    x = 27,545,212,293.67/187,205.57
  6. Step 6: Final answer
    x = 147,138.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.